The electron has a radius of 10^-16m. Does it oscillate and how much is its displacement?
Actually I would like to know till how much can we reduce the size of a transistor (assuming we get the appropriate materials and environment for the current limitations).

Staff: Mentor

You are misunderstanding what you've read. The best measurements we have say that whatever the electron's radius is, it's something less than ##10^{-22}## meters. This is consistent with it being a point particle of size zero (to the extent that "size" is even a meaningful concept for a quantum object such as an electron).

Does it oscillate and how much is its displacement?
Actually I would like to know till how much can we reduce the size of a transistor (assuming we get the appropriate materials and environment for the current limitations).

There are indeed quantum mechanical limits to how small a transistor can be made, but to understand them you need to understand the quantum mechanical description of electrons.

When you ask about the radius and the displacement and whether the electron oscillates, you're thinking in terms the popular English-language meaning of the word "particle", as if the electron is some sort of little tiny object like a ball with an electric charge. However, the word "particle" has a completely different meaning in quantum mechanics (it's a historical accident that we use the word "particle" to describe these quantum objects), so none of this thinking applies.

Confinement of individual electrons[edit]
Individual electrons can now be easily confined in ultra small (L = 20 nm, W = 20 nm) CMOS transistors operated at cryogenic temperature over a range of −269 °C (4 K) to about −258 °C (15 K).[65] The electron wavefunction spreads in a semiconductor lattice and negligibly interacts with the valence band electrons, so it can be treated in the single particle formalism, by replacing its mass with the effective mass tensor.

The electron does not oscillate in the normal sense of the word. True, it has a property call "spin" but that is a misleading word. Please keep in mind that the electron is a quantum particle. That means that it operates by the rules of quantum mechanics and quantum field theory. The descriptive words do not accurately describe what is best described mathematically.

So words like size and spin do not have meaning as you would expect. There is no theoretical lower limit on the size of the electron, so it is often described as a point particle (as already stated by Nugatory and others). It is just as accurate (and as meaningless) to state that a free electron is the size of the universe. Again, it is a quantum particle and all quantum particles have similar descriptive problems.

This is why Nugatory says there are limits to transistor size reduction. Within materials, there are field effects to consider which are well outside the "normal" properties of individual particles.

Maybe I'm going a little off-topic now,
Do you guys think continuing Moore's Law is worth it or should we consider alternatives such as 3D IC, DNA Computing(if we want to continue with classical computing) or Quantum Computing?